Solving Real-World Systems of Equations: Grade 8 Challenge

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have?

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 15 items for $36, how many pencils and erasers did they buy?

• 9 pencils and 6 erasers

• 7 pencils and 8 erasers

• 8 pencils and 7 erasers

• 10 pencils and 5 erasers

Two friends are saving money for a concert. One saves $5 a week and the other saves $8 a week. If together they want to save $100, how many weeks will it take for them to reach their goal?

• 10 weeks

• 12 weeks

• 8 weeks

• 6 weeks

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 100 miles

• 75 miles

• 120 miles

• 50 miles

A local gym offers two types of memberships. A monthly membership costs $25 and a yearly membership costs $250. If 40 memberships were sold for a total of $800, how many monthly and yearly memberships were sold?

• 40 monthly memberships and 0 yearly memberships

• 30 monthly memberships and 10 yearly memberships

• 20 monthly memberships and 20 yearly memberships

• 10 monthly memberships and 30 yearly memberships

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 30 fruits for $50, how many apples and bananas did they buy?

• 20 apples and 10 bananas

• 25 apples and 5 bananas

• 10 apples and 20 bananas

• 15 apples and 15 bananas

A bookstore sells novels for $15 and magazines for $5. If a customer bought 10 items for $100, how many novels and magazines did they purchase?

• 4 novels and 6 magazines

• 6 novels and 4 magazines

• 5 novels and 5 magazines

• 7 novels and 3 magazines

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer ordered a total of 5 pizzas for $52, how many small and large pizzas did they order?

• 1 small pizza and 4 large pizzas

• 3 small pizzas and 2 large pizzas

• 5 small pizzas and 0 large pizzas

• 2 small pizzas and 3 large pizzas

A charity event sold tickets for $20 each and VIP tickets for $50 each. If they sold a total of 100 tickets for $3000, how many regular and VIP tickets were sold?

• 40 regular tickets and 60 VIP tickets were sold.

• 60 regular tickets and 40 VIP tickets were sold.

• 50 regular tickets and 50 VIP tickets were sold.

• 30 regular tickets and 70 VIP tickets were sold.